12/9 added to 209/2 in Fraction Form

The result of 12/9 added to 209/2 is: 105 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 129 and 2092.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 129 to 2418
Convert 2092 to 188118

Step 4: Add the Numerators

Add the numerators: 24 + 1881 = 1905

Step 5: Simplify the Fraction

We can simplify 190518 to its lowest form.
The greatest common divisor (GCD) of 1905 and 18 is 3.
Dividing both numerator and denominator by the GCD, we get 6356.

Step 6: Convert to Mixed Number

The fraction 6356 can be written as the mixed number 10556.

Final Answer

The result of 12/9 added to 209/2 is:

129+2092=10556

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

Calculate operations between any two fractions: